When solving a system of two linear equations algebraically, how can you tell if the system has exactly one solution?

A.There will be one set of ordered pairs for each equation that make up the solution.


B. There will be exactly one value for x and one value for y that makes both equations true.


C. The algebraic process will result in a numerical statement that is always true.


D.The algebraic process will result in a numerical statement that is never true.

Answer:

43

Step-by-step explanation:

its an isoceles triangle so both base angles are congruent

Answer:

1. [tex]V =1607.7\ in^3[/tex]

2. [tex]V = 105mm^3[/tex]

3. [tex]V = 147yd^3[/tex]

Step-by-step explanation:

Solving (1):

Given

[tex]Radius, r =8\ in[/tex]

[tex]Height, h =8\ in[/tex]

Required

Determine the volume

Volume (V) of a cylinder is calculated as thus:

[tex]V =\pi r^2h[/tex]

[tex]V =3.14 * 8^2 * 8[/tex]

[tex]V =1607.7\ in^3[/tex]

Hence, the volume of the cylinder is [tex]1607.7\ in^3[/tex]

Solving (2):

Given

[tex]Length, l = 5mm[/tex]

[tex]Width, B = 7mm[/tex]

[tex]Height, H = 3mm[/tex]

Required

Determine the volume (V) of the rectangular prism

Volume (V) of a rectangular prism is calculated as thus:

[tex]V = LBH[/tex]

[tex]V = 5mm * 7mm * 3mm[/tex]

[tex]V = 105mm^3[/tex]

Hence, the volume of the prism is [tex]105mm^3[/tex]

Solving (3):

Given

[tex]Length, l = 7yd[/tex]

[tex]Width, B = 7yd[/tex]

[tex]Height, H = 9yd[/tex]

Required

Determine the volume (V) of the pyramid

Volume (V) of a pyramid is calculated as thus:

[tex]V = \frac{1}{3} *LBH[/tex]

[tex]V = \frac{1}{3} * 7yd * 7yd * 9yd[/tex]

[tex]V = \frac{1}{3} * 441yd^3[/tex]

[tex]V = 147yd^3[/tex]

Hence, the volume of the pyramid is [tex]147yd^3[/tex]

Answer:

thx

Step-by-step explanation:

Answer:A. The population of fish species in 2005 was 10000

Step-by-step explanation:

2005 = (t = 1)

Answer:

31%

Step-by-step explanation:

Answer: Two points = 26

Three points = 16

Step-by-step explanation:

Let the 2 points questions be represented by x

Let the 3 points questions be represented by y

Since the math test contained 42 questions, some of which were worth two points while therest were worth three points. This can be written as:

x + y = 42 ........... equation i

Since a perfect score is 100 and some questions are worth two pints while others are worth 3 points. This can be written as:

2x + 3y = 100 ........... equation ii

x + y = 42 ........... equation i

2x + 3y = 100 ......... equation ii

Multiply equation i by 2.

Multiply equation ii by 1

2x + 2y = 84 ........ equation iii

2x + 3y = 100 ....... equation iv

Subtract equation iii from iv

y = 16

There are 16 3-points questions.

Since x + y = 42

x + 16 = 42

x = 42 - 16

x = 26

There are 26 2-points questions

Answer:

do you go to risdon

Step-by-step explanation:

Answer:

tbh stay away from the drama because that just gets u in everything and u dont  want that and just focus on yourself to stay on task worry about everyone else and i need help on staying organized too

Step-by-step explanation:

Answer:

15

Step-by-step explan

Answer:

95 6 11

Step-by-step explanation:

im really smart lol    jp   :/

Answer:

m∠C'B'D' = 95

CQ = 6

B'D' = 11

Step-by-step explanation:

Edge2020

Have a great day! :)

Answer:

ik the answer

Step-by-step explanation:

The first one (the one that you have chosen)

Answer:

The top left one!!!! hope this is in time!!

Step-by-step explanation:

Answer:

$405

Step-by-step explanation:

$13.50 times the 40 hours is $540

$540 minus the $135 she has to pay her parents is $405

Answer:

it isn't proportional because it doesn't go through the origin.

Step-by-step explanation:

Answer:

Inequality Form:

r ≥ 7

Interval Notation:

[7, ∞)

Step-by-step explanation:

−1.3 ≥ 2.9 − 0.6r

Rewrite so r is on the left side of the inequality.

2.9 − 0.6r  ≤ −1.3

Move all terms not containing r to the right side of the inequality.  

Subtract 2.9 from both sides of the inequality.

−0.6r  ≤ −1.3 − 2.9

Subtract 2.9 from −1.3.

−0.6r  ≤ −4.2

Divide each term by −0.6 and simplify.

      Divide each  term in −0.6r  ≤ −4.2 by −0.6. When multiplying or dividing both sides of an

      inequality by a negative value, f lip the direction of the inequality sign.

       −0.6r /−0.6 ≥  −4.2 /−0.6

       Cancel the common factor of −0.6.

                  −4.2

          r ≥    ______

                  −0.6

 Divide −4.2 by −0.6.

r ≥ 7

The result can be shown in multiple forms.

Inequality Form:

r ≥ 7

Interval Notation:

[7, ∞)

Answer:

Answer:5.86÷12=0.5 in nearest penny

Step-by-step explanation:this number kind of problem u solve it using inversely proportional method one one quantity is decreasing which is the ounce

Step-by-step explanation:

Answer:

0.5

Step-by-step explanation:

Answer:

the answer is c.(3,-3)

:)

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Answer:

y=6x+24

Step-by-step explanation:

your temperature at the y-intercept is 24 degrees, and your slope being 6/1, so that would be your line equation. You can just plug in to solve after that

Remember that for your graph your dependent variable is always on the x-axis, and your independent variable is always on the y-axis. So because the temperature depends on time, the x-axis is the time of day in hours, and your y-axis is the temperature in Fahrenheit.

Answer:

28=(7)x+b

Step-by-step explanation:

y=mx+b right?

starts at 28, so plug that into y

28=mx+b

the rate of change is 7, so you plug that into m

28=(7)x+b

(I'm sorry if this is wrong, this is just my understanding of this)

Answer:

A C E H

Step-by-step explanation:

Answer:

hi mom love you

Step-by-step explanation:

Answer:

$41

Step-by-step explanation:

Answer:

58

Step-by-step explanation:

Given that :

Handling fee = $5

Cost of ticket to comedy concert = $58 each

The total cost y of buying ticket x ;

Using the slope - Intercept relation

y = mx + c

m = slope ; c = intercept

The constant handling fee = $5 = c = intercept

Cost of x tickets = (cost per ticket * number of tickets) = 58 * x = 58x

Hence,

y = 58x + 5

Comparing with the intercept slope equation :

Slope (m) =58

Answer:

6.5 < 6.55

Step-by-step explanation:

since

6.5 can be written as 65/10

6.55 can be written as 655/100

when we take LCM of 100 and 10 we get 100.

so we will multiply 65/10 with 10 on both numerator and denominator.

we get 650/100 and 655/100 .

since denominators are same we can say that 650<655.

Hence,

6.5 < 6.55

Answer:

824% just move the decimal two place values?

Step-by-step explanation:

9514 1404 393

Answer:

  1

Step-by-step explanation:

  [tex](f\circ g)(-1)=f(g(-1))=f(4(-1)^2+2)\\\\=f(6)=\dfrac{8}{6+2}=1\\\\\boxed{(f\circ g)(-1)=1}[/tex]

30

Step-by-step explanation:

15x + J + 3x = 6(3x + 5)

18x + J = 18x + 30

-18x -18x

J = 30

Answer:

C

Step-by-step explanation:

Hope this helps

Answer:

-1,-2

Step-by-step explanation:

Since it is translated 5 units down that means the y-intercept is -5, so the equation above is correct.